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This paper explores the Kerr-Schild double copy, a duality relating gravity and electromagnetism. We show how Einstein's vacuum solutions in four dimensions can be converted into Maxwell's solutions via a double copy procedure, employing…

广义相对论与量子宇宙学 · 物理学 2023-12-20 Wen-Xiang Chen , Yao-Guang Zheng

Some exact static solutions for Einstein gravity in 2+1 dimensions coupled to abelian gauge field are discussed. Some of these solutions are three-dimensional analogs of the Schwarzschild black holes. The metrics in the regions inside and…

高能物理 - 理论 · 物理学 2009-10-22 Ian I. Kogan

The (free) graviton admits, in addition to the standard Pauli-Fierz description by means of a rank-two symmetric tensor, a description in which one dualizes the corresponding (2,2)-curvature tensor on one column to get a (D-2,2)-tensor,…

高能物理 - 理论 · 物理学 2020-01-08 Marc Henneaux , Victor Lekeu , Amaury Leonard

The curvature-squared model of gravity, in the affine form proposed by Weyl and Yang, is deduced from a topological action in 4D. More specifically, we start from the Pontrjagin (or Euler) invariant. Using the BRST antifield formalism with…

高能物理 - 理论 · 物理学 2014-11-18 Eckehard W. Mielke

Gauge fields in exotic representations of the Lorentz group in D dimensions - i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows and columns - naturally arise through massive string…

高能物理 - 理论 · 物理学 2009-11-07 P. de Medeiros , C. Hull

In this paper we evince a rigorous formulation of duality in gravitational theories where an Einstein like equation is valid, by providing the conditions under which the Hodge duals (with respect to the metric tensor g) of T^a and R_b^a may…

数学物理 · 物理学 2010-07-06 Roldao da Rocha , Waldyr A. Rodrigues

We show that the action of Einstein's gravity with a scalar field coupled in a generic way to spacetime curvature is invariant under a particular set of conformal transformations. These transformations relate dual theories for which the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 L. R. Abramo , L. Brenig , E. Gunzig , A. Saa

We consider radiation emitted by colour-charged and massive particles crossing strong plane wave backgrounds in gauge theory and gravity. These backgrounds are treated exactly and non-perturbatively throughout. We compute the back-reaction…

高能物理 - 理论 · 物理学 2020-10-28 Tim Adamo , Anton Ilderton

The four-dimensional gauge group of general relativity corresponds to arbitrary coordinate transformations on a four-manifold. Theories of gravity with a dynamical structure remarkably like Einstein's theory can be obtained on the basis of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Julian Barbour , Niall O Murchadha

In the context of field theory two elements seem to be necessary to search for strong-weak coupling duality. First, a gauge theory formulation and second, supersymmetry. For gravitation these two elements are present in MacDowell-Mansouri…

高能物理 - 理论 · 物理学 2009-10-31 H. Garcia-Compean , A. Nieto , O. Obregon , C. Ramirez

We show that scattering amplitudes in magical, symmetric or homogeneous N=2 Maxwell-Einstein supergravities can be obtained as double copies of two gauge theories, using the framework of color/kinematics duality. The left-hand-copy is N=2…

高能物理 - 理论 · 物理学 2017-08-28 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

The double copy programme relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of…

高能物理 - 理论 · 物理学 2023-11-08 Roberto Bonezzi , Felipe Diaz-Jaramillo , Silvia Nagy

We give a novel formulation of classical double copy in the mini-superspace of static, spherically symmetric black holes where the map between the solutions of general relativity and Maxwell's theory can be realized in Boyer-Lindsquit…

广义相对论与量子宇宙学 · 物理学 2025-07-10 Gokhan Alkac , Mehmet Kemal Gumus , Mehmet Ali Olpak

Double Field Theory (DFT) can be constructed as the double copy of a Yang-Mills theory. In this work we extend this statement by including higher-derivative terms. Starting from a four-derivative extension of Yang-Mills whose double copy is…

高能物理 - 理论 · 物理学 2023-12-29 Eric Lescano , Gabriel Menezes , Jesús A. Rodríguez

Noncommutative geometric construction of gravity in the two sheeted spacetime can be viewed as a discretized version of a Kaluza-Klein theory. In this paper, we show that it is possible to incorporate the nonabelian gauge fields in the same…

广义相对论与量子宇宙学 · 物理学 2020-09-25 Viet Ai Nguyen , Du Tien Pham

The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime dimensions, and a three-dimensional analogue of this -- the…

高能物理 - 理论 · 物理学 2022-12-12 Mariana Carrillo González , William T. Emond , Nathan Moynihan , Justinas Rumbutis , Chris D. White

The Ashtekar-Renteln Ansatz gives the self-dual solutions to the Einstein equation. A direct generalization of the Ashtekar-Renteln An\-satz to N=1 supergravity is given both in the canonical and in the covariant formulation and a…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Géza Fülöp

By resolving the gravitational field into electric and magnetic parts, we define an electrogravity duality transformation and discover an interesting property of the field. Under the duality transformation a vacuum/flat spacetime maps into…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Naresh Dadhich

We find Abelian gauge fields that double copy to a large class of black hole spacetimes with spherical horizon topology known as the Kerr-NUT-(A)dS family. Using a multi-Kerr-Schild prescription, we extend the previously-known double copy…

高能物理 - 理论 · 物理学 2023-04-13 Samarth Chawla , Cynthia Keeler

We construct the gravitational theory emerging from the double-copy of massive scalar quantum chromodynamics in general dimensions. The resulting two-form-dilaton-gravity theory couples to flavored massive scalars gravitationally and via…

高能物理 - 理论 · 物理学 2020-03-18 Jan Plefka , Canxin Shi , Tianheng Wang